A convergent Newton algorithm for computing Z-eigenvalues of an almost nonnegative irreducible tensor-Reference-Cited by-同舟云学术

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A convergent Newton algorithm for computing Z-eigenvalues of an almost nonnegative irreducible tensor

Published:2019-08-07 Issue:2 Volume:35 Page:377-393
ISSN:1055-6788
Container-title:Optimization Methods and Software
language:en
Short-container-title:Optimization Methods and Software

Author:

Zhang Xin¹²,Ni Qin¹^ORCID,Ge Zhili³

Affiliation:

1. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China

2. School of Arts and Science, Suqian College, Suqian, People's Republic of China

3. Basic Sciences Department, Nanjing Polytechnic Institute, Nanjing, People's Republic of China

Publisher

Informa UK Limited

Subject

Applied Mathematics,Control and Optimization,Software

Link

https://www.tandfonline.com/doi/pdf/10.1080/10556788.2019.1647196

Reference21 articles.

1. New stopping criteria for detecting infeasibility in conic optimization

2. Perron-Frobenius theorem for nonnegative tensors

3. On eigenvalue problems of real symmetric tensors

4. Some variational principles for Z -eigenvalues of nonnegative tensors

5. On the uniqueness and non-uniqueness of the positiveZ-eigenvector for transition probability tensors

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1. A power-like method for finding the spectral radius of a weakly irreducible nonnegative symmetric tensor;Computational Optimization and Applications;2024-08-17

2. Normalized Newton method to solve generalized tensor eigenvalue problems;Numerical Linear Algebra with Applications;2024-01-09

3. A family of gradient methods using Householder transformation with application to hypergraph partitioning;Numerical Algorithms;2023-06-29

4. Z-Eigenvalue Intervals of Even-Order Tensors with Application to Judge the Strong Ellipticity of an Elasticity Tensor;Acta Applicandae Mathematicae;2022-11-16

5. Feasible Newton methods for symmetric tensor Z-eigenvalue problems;Optimization Methods and Software;2022-11-14

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